SOLUTION: The measure of an angle is 12 degrees less than its complement, what is the measure of the smaller angle in degrees?

Question 675131: The measure of an angle is 12 degrees less than its complement, what is the measure of the smaller angle in degrees?
Found 2 solutions by rm29924, sachi:
Answer by rm29924(97) (Show Source): You can put this solution on YOUR website!
The complement of an angle is an angle that when added to another angle = 90 degrees
let the complement angle = x
the smaller angle = x-12
addes together they equal 90 degrees
x+x-12=90
combine like terms
2x-12=90
add 12 to both sides
2x=102
divide both sides by 2
x=51
the smaller angle is 51-12= 39
51+39=90
the smaller angle is 39 degrees
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
let the compliment angle is x
so the angle is x-12
as per question x+x-12=90
or 2x=90+12=102
ox x=51
& the smaller angle=90-51=39
ans
RELATED QUESTIONS
an angle is 25 degrees less than the measure of its complement. what is the measure of... (answered by stanbon)
An angle is 25 degrees less than the measure of its complement. What is the measure of... (answered by Mathtut,actuary)
An angle is 25 degrees LESS than the measure of its complement. What is the measure of... (answered by Mathtut,gonzo)
THe measure of an angle is 6 degrees less than the measure of its complement. (answered by josgarithmetic)
The measure of an angle is 20 degrees more than twice its complement. Find the measure of (answered by math-vortex)
An angle is 12 degrees more than its complement. Find the measure of the... (answered by stanbon)
find the measure of an angle if its measure is 3 degrees less than twice the measure of... (answered by drj)
Twice the complement of an angle is 24 degrees less than its supplement. What is the... (answered by Alan3354)
an angle measures 34 degrees more than its complement what is the measure of the... (answered by Stitch)